Question

http://prntscr.com/9e5c22 @FortyTheRapper

Answer 1

Let me work it out real quick, then give you a step by step

Answer 2

okay sounds good

Answer 3

Is that a guy in the Picture

Answer 4

um what

Answer 5

Im talkin to the rapper

Answer 6

It's basically factoring, thats why

Answer 7

And yeah, just some black dude ;P

So, do you know basic factoring?

Answer 8

Lol okay

Answer 9

kind of.. but im real bad at math lol especially dealing with fractions and factors

Answer 10

Alright, let's take an square equation for example

x^2 + 6x + 9

To factor it, the answer will be in the form of ( )( ), right?

Since the x^2 is x times x, you can put one x in each of the parenthesis, to get:

(x )(x )

Now, the second part, 6x, represents addition. The third part, 9, represents multiplication.

So, can you think of two numbers that add to 6, and also multiplies to 9?

Answer 11

3+3= 6
3x3+ 9

Answer 12

i meant 3x3=9 lol

Answer 13

Right, so 3 and 3. We can add that to the parenthesis

(x 3)(x 3)

Now all were missing is the operation sign. For factoring, the operation sign is always either + or -.

Let's put a + in both for the first try

(x+3)(x+3), this is when you do the FOIL method. Idk if you've heard of that?

Answer 14

um ive heard of it when i moved to FL but it always confused me

Answer 15

Yeah, factoring is a tough one to teach lol

So basically it means, First, Outside, Inside, Last

You would multiply the first thing in the first parenthesis by the first thing in the second parenthesis. Both of those values are x, and x times x is x^2

Same with the outside. The outside of the first is an x and the outside of the second is a 3. 3 times x is 3x

Inside is a 3 and a x, which is 3x

And last is the last thing in each of the parenthesis, which is a 3 and 3. 3 and 3 = 9

Answer 16

okay that makes sense

Answer 17

Awesome!

So we combine every answer we found, getting x^2 + 3x + 3x + 9

Then we would combine like terms. 3x and 3x both have just x on the end

So our final answer is x^2 + 6x + 9. That's what we started with

Answer 18

so x^2+3x+3x+9

Answer 19

Yep, exactly!

Answer 20

So they decided to present you with a overly complication problem. Luckily if you look at the answer choices, they've already given one factor for each part of the fraction, so you just have to find the other to make sure if it's correct

Answer 21

i think its c

Answer 22

So lets' start with A

4z + 3
------
z + 2

Using the FOIL Method for the top first:

(4z + 3)(?????)

First: 4z and ? would make 12z^2 (The 12z^2 is from your original question)

Answer 23

Mmm, it's not C

Answer 24

wouldnt it be 4z+3 again sorry im slow lol

Answer 25

Almost

4z and 4z would be a 16z^2, you see it? Because 4x4=16 and z*z = z^2

Answer 26

oh 4z and 3z would be 12z^2

Answer 27

Yes! Exactly

(4z +3)(3z ?)

Now, lets do the outside, which is well easier.

3 and ? multiply to get 12?

Answer 28

3 and 4

Answer 29

Yep, so let's add that

(4z + 3)(3z 4)

Now the hardest part: Seeing if that symbol between 3z and 4 is a + or -

If it's a +, that would be (4z +3)(3z +4). We can test the outside first and see +3 times +4 = +12, but the original says -12, so it's not that.

If we do minus (4z+3)(3z-4), it gives us -12, but doing the foil method, 4z x 4 is 16z and 3z times 3 is 9z. +16z added onto a +9z is a 25z, but the original said -25z

Since + or - doesn't work for any of these. 4z+3 isn't right

That all make sense?

Seeing 4z+3 doesn't work, we can automatically remove two answer choices

Answer 30

oh okay

Answer 31

So the answer must have 4z-3 on the top

Now to figure out the bottom, we do the same thing. They gave us z-2 and z+2 as choices.
Since A is out, let's start with B, z+2

(Z + 2)(????)

Z times ? would equal 3z? (3z in the original)

2 times ? would equal 8?

Answer 32

-8, not 8

Answer 33

z times 3 would equal 3z

Answer 34

2 times -4

Answer 35

Right!

So let's use those (z +2)(3z -4)
3z times z = 3z^2
2 times -4 = -8

The outsides are z and -4, which equals -4z
The insides are 2 and 3z, with is 6z

-4z + 6z = 2z

When you put those 3 answers together you get 3z^2+2z-8! So B must be the answer

Answer 36

Since 3z^2+2z-8 is the same as the original denominator

Answer 37

Thank you so much for all the help :)

Answer 38

No problem! Hope it all made sense!

Answer 39

it did thanks again!

Answer 40

Anytime!